A general method for generating multicomponent integrable hierarchies

Hon Wah Tam; Yu Feng Zhang

doi:10.1016/S0960-0779(04)00349-2

A general method for generating multicomponent integrable hierarchies

Hon Wah Tam^*, Yu Feng Zhang

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

5 Citations (Scopus)

Abstract

A Lie algebra, whose bases are the forms of M × 3 matrices, is defined. Subsequently two types of loop algebras are constructed, whose commutative operations are equivalent to known ones proposed before. By using the Tu scheme, the mulicomponent KN hierarchy and its integrable coupling system, as well as a generalized multicomponent AKNS integrable hierarchy with five potential functions are obtained. The procedure presented in this paper is simple and straightforward and can be used generally

Original language	English
Pages (from-to)	963-971
Number of pages	9
Journal	Chaos, Solitons and Fractals
Volume	23
Issue number	3
DOIs	https://doi.org/10.1016/S0960-0779(04)00349-2
Publication status	Published - Feb 2005

Scopus Subject Areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/S0960-0779(04)00349-2

Cite this

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abstract = "A Lie algebra, whose bases are the forms of M × 3 matrices, is defined. Subsequently two types of loop algebras are constructed, whose commutative operations are equivalent to known ones proposed before. By using the Tu scheme, the mulicomponent KN hierarchy and its integrable coupling system, as well as a generalized multicomponent AKNS integrable hierarchy with five potential functions are obtained. The procedure presented in this paper is simple and straightforward and can be used generally",

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AU - Zhang, Yu Feng

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AB - A Lie algebra, whose bases are the forms of M × 3 matrices, is defined. Subsequently two types of loop algebras are constructed, whose commutative operations are equivalent to known ones proposed before. By using the Tu scheme, the mulicomponent KN hierarchy and its integrable coupling system, as well as a generalized multicomponent AKNS integrable hierarchy with five potential functions are obtained. The procedure presented in this paper is simple and straightforward and can be used generally

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

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ER -

A general method for generating multicomponent integrable hierarchies

Abstract

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